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12393734500 = 225373899103
BaseRepresentation
bin10111000101011100…
…10110000101100100
31011222201222221112201
423202232112011210
5200340244001000
65405452424244
7616062001510
oct134256260544
934881887481
1012393734500
11528aa38194
12249a778084
1312268c1314
14858031140
154c80e796a
hex2e2b96164

12393734500 has 96 divisors (see below), whose sum is σ = 31017692160. Its totient is φ = 4237891200.

The previous prime is 12393734461. The next prime is 12393734531. The reversal of 12393734500 is 543739321.

It is a happy number.

It is a self number, because there is not a number n which added to its sum of digits gives 12393734500.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1356949 + ... + 1366051.

It is an arithmetic number, because the mean of its divisors is an integer number (323100960).

Almost surely, 212393734500 is an apocalyptic number.

12393734500 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 12393734500, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15508846080).

12393734500 is an abundant number, since it is smaller than the sum of its proper divisors (18623957660).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

12393734500 is a wasteful number, since it uses less digits than its factorization.

12393734500 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9518 (or 9506 counting only the distinct ones).

The product of its (nonzero) digits is 68040, while the sum is 37.

The spelling of 12393734500 in words is "twelve billion, three hundred ninety-three million, seven hundred thirty-four thousand, five hundred".

Divisors: 1 2 4 5 7 10 14 20 25 28 35 50 70 100 125 140 175 250 350 389 500 700 778 875 1556 1750 1945 2723 3500 3890 5446 7780 9103 9725 10892 13615 18206 19450 27230 36412 38900 45515 48625 54460 63721 68075 91030 97250 127442 136150 182060 194500 227575 254884 272300 318605 340375 455150 637210 680750 910300 1137875 1274420 1361500 1593025 2275750 3186050 3541067 4551500 6372100 7082134 7965125 14164268 15930250 17705335 24787469 31860500 35410670 49574938 70821340 88526675 99149876 123937345 177053350 247874690 354106700 442633375 495749380 619686725 885266750 1239373450 1770533500 2478746900 3098433625 6196867250 12393734500